- : 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] active(U101(X1,X2,X3)) -> U101(active(X1),X2,X3)
[151] active(U102(X1,X2,X3)) -> U102(active(X1),X2,X3)
[152] active(U103(X1,X2,X3)) -> U103(active(X1),X2,X3)
[153] active(U104(X1,X2,X3)) -> U104(active(X1),X2,X3)
[154] active(U105(X1,X2)) -> U105(active(X1),X2)
[155] active(U106(X)) -> U106(active(X))
[156] active(U11(X1,X2,X3)) -> U11(active(X1),X2,X3)
[157] active(U12(X1,X2,X3)) -> U12(active(X1),X2,X3)
[158] active(U111(X1,X2)) -> U111(active(X1),X2)
[159] active(U112(X)) -> U112(active(X))
[160] active(U13(X1,X2,X3)) -> U13(active(X1),X2,X3)
[161] active(U121(X1,X2)) -> U121(active(X1),X2)
[162] active(U122(X)) -> U122(active(X))
[163] active(U14(X1,X2,X3)) -> U14(active(X1),X2,X3)
[164] active(U131(X)) -> U131(active(X))
[165] active(snd(X)) -> snd(active(X))
[166] active(splitAt(X1,X2)) -> splitAt(active(X1),X2)
[167] active(splitAt(X1,X2)) -> splitAt(X1,active(X2))
[168] active(U141(X)) -> U141(active(X))
[169] active(U151(X)) -> U151(active(X))
[170] active(U161(X)) -> U161(active(X))
[171] active(U171(X1,X2)) -> U171(active(X1),X2)
[172] active(U172(X)) -> U172(active(X))
[173] active(U181(X1,X2)) -> U181(active(X1),X2)
[174] active(U182(X1,X2)) -> U182(active(X1),X2)
[175] active(U183(X)) -> U183(active(X))
[176] active(U191(X1,X2)) -> U191(active(X1),X2)
[177] active(U192(X1,X2)) -> U192(active(X1),X2)
[178] active(U193(X)) -> U193(active(X))
[179] active(U201(X1,X2,X3)) -> U201(active(X1),X2,X3)
[180] active(U202(X1,X2,X3)) -> U202(active(X1),X2,X3)
[181] active(U203(X1,X2,X3)) -> U203(active(X1),X2,X3)
[182] active(U204(X1,X2,X3)) -> U204(active(X1),X2,X3)
[183] active(U205(X1,X2)) -> U205(active(X1),X2)
[184] active(U206(X)) -> U206(active(X))
[185] active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3)
[186] active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3)
[187] active(U211(X)) -> U211(active(X))
[188] active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3)
[189] active(U221(X)) -> U221(active(X))
[190] active(U24(X1,X2)) -> U24(active(X1),X2)
[191] active(U231(X1,X2)) -> U231(active(X1),X2)
[192] active(U232(X)) -> U232(active(X))
[193] active(U241(X1,X2,X3)) -> U241(active(X1),X2,X3)
[194] active(U242(X1,X2,X3)) -> U242(active(X1),X2,X3)
[195] active(U243(X1,X2,X3)) -> U243(active(X1),X2,X3)
[196] active(U244(X1,X2,X3)) -> U244(active(X1),X2,X3)
[197] active(U245(X1,X2)) -> U245(active(X1),X2)
[198] active(U246(X)) -> U246(active(X))
[199] active(U251(X1,X2,X3)) -> U251(active(X1),X2,X3)
[200] active(U252(X1,X2,X3)) -> U252(active(X1),X2,X3)
[201] active(U253(X1,X2,X3)) -> U253(active(X1),X2,X3)
[202] active(U254(X1,X2,X3)) -> U254(active(X1),X2,X3)
[203] active(U255(X1,X2)) -> U255(active(X1),X2)
[204] active(U256(X)) -> U256(active(X))
[205] active(U261(X1,X2)) -> U261(active(X1),X2)
[206] active(U262(X)) -> U262(active(X))
[207] active(U271(X1,X2)) -> U271(active(X1),X2)
[208] active(U272(X)) -> U272(active(X))
[209] active(U281(X1,X2)) -> U281(active(X1),X2)
[210] active(U282(X1,X2)) -> U282(active(X1),X2)
[211] active(cons(X1,X2)) -> cons(active(X1),X2)
[212] active(natsFrom(X)) -> natsFrom(active(X))
[213] active(s(X)) -> s(active(X))
[214] active(U291(X1,X2,X3)) -> U291(active(X1),X2,X3)
[215] active(U292(X1,X2,X3)) -> U292(active(X1),X2,X3)
[216] active(U293(X1,X2,X3)) -> U293(active(X1),X2,X3)
[217] active(U294(X1,X2,X3)) -> U294(active(X1),X2,X3)
[218] active(head(X)) -> head(active(X))
[219] active(afterNth(X1,X2)) -> afterNth(active(X1),X2)
[220] active(afterNth(X1,X2)) -> afterNth(X1,active(X2))
[221] active(U301(X1,X2,X3)) -> U301(active(X1),X2,X3)
[222] active(U302(X1,X2)) -> U302(active(X1),X2)
[223] active(U303(X1,X2)) -> U303(active(X1),X2)
[224] active(U304(X1,X2)) -> U304(active(X1),X2)
[225] active(U31(X1,X2,X3)) -> U31(active(X1),X2,X3)
[226] active(U32(X1,X2,X3)) -> U32(active(X1),X2,X3)
[227] active(U311(X1,X2)) -> U311(active(X1),X2)
[228] active(U312(X1,X2)) -> U312(active(X1),X2)
[229] active(pair(X1,X2)) -> pair(active(X1),X2)
[230] active(pair(X1,X2)) -> pair(X1,active(X2))
[231] active(U33(X1,X2,X3)) -> U33(active(X1),X2,X3)
[232] active(U321(X1,X2,X3,X4)) -> U321(active(X1),X2,X3,X4)
[233] active(U322(X1,X2,X3,X4)) -> U322(active(X1),X2,X3,X4)
[234] active(U323(X1,X2,X3,X4)) -> U323(active(X1),X2,X3,X4)
[235] active(U324(X1,X2,X3,X4)) -> U324(active(X1),X2,X3,X4)
[236] active(U325(X1,X2,X3,X4)) -> U325(active(X1),X2,X3,X4)
[237] active(U326(X1,X2,X3,X4)) -> U326(active(X1),X2,X3,X4)
[238] active(U327(X1,X2)) -> U327(active(X1),X2)
[239] active(U34(X1,X2)) -> U34(active(X1),X2)
[240] active(U331(X1,X2,X3)) -> U331(active(X1),X2,X3)
[241] active(U332(X1,X2)) -> U332(active(X1),X2)
[242] active(U333(X1,X2)) -> U333(active(X1),X2)
[243] active(U334(X1,X2)) -> U334(active(X1),X2)
[244] active(U341(X1,X2,X3)) -> U341(active(X1),X2,X3)
[245] active(U342(X1,X2,X3)) -> U342(active(X1),X2,X3)
[246] active(U343(X1,X2,X3)) -> U343(active(X1),X2,X3)
[247] active(U344(X1,X2,X3)) -> U344(active(X1),X2,X3)
[248] active(fst(X)) -> fst(active(X))
[249] active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3)
[250] active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3)
[251] active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3)
[252] active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3)
[253] active(U45(X1,X2)) -> U45(active(X1),X2)
[254] active(U46(X)) -> U46(active(X))
[255] active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3)
[256] active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3)
[257] active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3)
[258] active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3)
[259] active(U55(X1,X2)) -> U55(active(X1),X2)
[260] active(U56(X)) -> U56(active(X))
[261] active(U61(X1,X2)) -> U61(active(X1),X2)
[262] active(U62(X1,X2)) -> U62(active(X1),X2)
[263] active(U63(X)) -> U63(active(X))
[264] active(U71(X1,X2)) -> U71(active(X1),X2)
[265] active(U72(X1,X2)) -> U72(active(X1),X2)
[266] active(U73(X)) -> U73(active(X))
[267] active(U81(X1,X2)) -> U81(active(X1),X2)
[268] active(U82(X1,X2)) -> U82(active(X1),X2)
[269] active(U83(X)) -> U83(active(X))
[270] active(U91(X1,X2)) -> U91(active(X1),X2)
[271] active(U92(X1,X2)) -> U92(active(X1),X2)
[272] active(U93(X)) -> U93(active(X))
[273] active(tail(X)) -> tail(active(X))
[274] active(take(X1,X2)) -> take(active(X1),X2)
[275] active(take(X1,X2)) -> take(X1,active(X2))
[276] active(sel(X1,X2)) -> sel(active(X1),X2)
[277] active(sel(X1,X2)) -> sel(X1,active(X2))
[278] U101(mark(X1),X2,X3) -> mark(U101(X1,X2,X3))
[279] U102(mark(X1),X2,X3) -> mark(U102(X1,X2,X3))
[280] U103(mark(X1),X2,X3) -> mark(U103(X1,X2,X3))
[281] U104(mark(X1),X2,X3) -> mark(U104(X1,X2,X3))
[282] U105(mark(X1),X2) -> mark(U105(X1,X2))
[283] U106(mark(X)) -> mark(U106(X))
[284] U11(mark(X1),X2,X3) -> mark(U11(X1,X2,X3))
[285] U12(mark(X1),X2,X3) -> mark(U12(X1,X2,X3))
[286] U111(mark(X1),X2) -> mark(U111(X1,X2))
[287] U112(mark(X)) -> mark(U112(X))
[288] U13(mark(X1),X2,X3) -> mark(U13(X1,X2,X3))
[289] U121(mark(X1),X2) -> mark(U121(X1,X2))
[290] U122(mark(X)) -> mark(U122(X))
[291] U14(mark(X1),X2,X3) -> mark(U14(X1,X2,X3))
[292] U131(mark(X)) -> mark(U131(X))
[293] snd(mark(X)) -> mark(snd(X))
[294] splitAt(mark(X1),X2) -> mark(splitAt(X1,X2))
[295] splitAt(X1,mark(X2)) -> mark(splitAt(X1,X2))
[296] U141(mark(X)) -> mark(U141(X))
[297] U151(mark(X)) -> mark(U151(X))
[298] U161(mark(X)) -> mark(U161(X))
[299] U171(mark(X1),X2) -> mark(U171(X1,X2))
[300] U172(mark(X)) -> mark(U172(X))
[301] U181(mark(X1),X2) -> mark(U181(X1,X2))
[302] U182(mark(X1),X2) -> mark(U182(X1,X2))
[303] U183(mark(X)) -> mark(U183(X))
[304] U191(mark(X1),X2) -> mark(U191(X1,X2))
[305] U192(mark(X1),X2) -> mark(U192(X1,X2))
[306] U193(mark(X)) -> mark(U193(X))
[307] U201(mark(X1),X2,X3) -> mark(U201(X1,X2,X3))
[308] U202(mark(X1),X2,X3) -> mark(U202(X1,X2,X3))
[309] U203(mark(X1),X2,X3) -> mark(U203(X1,X2,X3))
[310] U204(mark(X1),X2,X3) -> mark(U204(X1,X2,X3))
[311] U205(mark(X1),X2) -> mark(U205(X1,X2))
[312] U206(mark(X)) -> mark(U206(X))
[313] U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3))
[314] U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3))
[315] U211(mark(X)) -> mark(U211(X))
[316] U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3))
[317] U221(mark(X)) -> mark(U221(X))
[318] U24(mark(X1),X2) -> mark(U24(X1,X2))
[319] U231(mark(X1),X2) -> mark(U231(X1,X2))
[320] U232(mark(X)) -> mark(U232(X))
[321] U241(mark(X1),X2,X3) -> mark(U241(X1,X2,X3))
[322] U242(mark(X1),X2,X3) -> mark(U242(X1,X2,X3))
[323] U243(mark(X1),X2,X3) -> mark(U243(X1,X2,X3))
[324] U244(mark(X1),X2,X3) -> mark(U244(X1,X2,X3))
[325] U245(mark(X1),X2) -> mark(U245(X1,X2))
[326] U246(mark(X)) -> mark(U246(X))
[327] U251(mark(X1),X2,X3) -> mark(U251(X1,X2,X3))
[328] U252(mark(X1),X2,X3) -> mark(U252(X1,X2,X3))
[329] U253(mark(X1),X2,X3) -> mark(U253(X1,X2,X3))
[330] U254(mark(X1),X2,X3) -> mark(U254(X1,X2,X3))
[331] U255(mark(X1),X2) -> mark(U255(X1,X2))
[332] U256(mark(X)) -> mark(U256(X))
[333] U261(mark(X1),X2) -> mark(U261(X1,X2))
[334] U262(mark(X)) -> mark(U262(X))
[335] U271(mark(X1),X2) -> mark(U271(X1,X2))
[336] U272(mark(X)) -> mark(U272(X))
[337] U281(mark(X1),X2) -> mark(U281(X1,X2))
[338] U282(mark(X1),X2) -> mark(U282(X1,X2))
[339] cons(mark(X1),X2) -> mark(cons(X1,X2))
[340] natsFrom(mark(X)) -> mark(natsFrom(X))
[341] s(mark(X)) -> mark(s(X))
[342] U291(mark(X1),X2,X3) -> mark(U291(X1,X2,X3))
[343] U292(mark(X1),X2,X3) -> mark(U292(X1,X2,X3))
[344] U293(mark(X1),X2,X3) -> mark(U293(X1,X2,X3))
[345] U294(mark(X1),X2,X3) -> mark(U294(X1,X2,X3))
[346] head(mark(X)) -> mark(head(X))
[347] afterNth(mark(X1),X2) -> mark(afterNth(X1,X2))
[348] afterNth(X1,mark(X2)) -> mark(afterNth(X1,X2))
[349] U301(mark(X1),X2,X3) -> mark(U301(X1,X2,X3))
[350] U302(mark(X1),X2) -> mark(U302(X1,X2))
[351] U303(mark(X1),X2) -> mark(U303(X1,X2))
[352] U304(mark(X1),X2) -> mark(U304(X1,X2))
[353] U31(mark(X1),X2,X3) -> mark(U31(X1,X2,X3))
[354] U32(mark(X1),X2,X3) -> mark(U32(X1,X2,X3))
[355] U311(mark(X1),X2) -> mark(U311(X1,X2))
[356] U312(mark(X1),X2) -> mark(U312(X1,X2))
[357] pair(mark(X1),X2) -> mark(pair(X1,X2))
[358] pair(X1,mark(X2)) -> mark(pair(X1,X2))
[359] U33(mark(X1),X2,X3) -> mark(U33(X1,X2,X3))
[360] U321(mark(X1),X2,X3,X4) -> mark(U321(X1,X2,X3,X4))
[361] U322(mark(X1),X2,X3,X4) -> mark(U322(X1,X2,X3,X4))
[362] U323(mark(X1),X2,X3,X4) -> mark(U323(X1,X2,X3,X4))
[363] U324(mark(X1),X2,X3,X4) -> mark(U324(X1,X2,X3,X4))
[364] U325(mark(X1),X2,X3,X4) -> mark(U325(X1,X2,X3,X4))
[365] U326(mark(X1),X2,X3,X4) -> mark(U326(X1,X2,X3,X4))
[366] U327(mark(X1),X2) -> mark(U327(X1,X2))
[367] U34(mark(X1),X2) -> mark(U34(X1,X2))
[368] U331(mark(X1),X2,X3) -> mark(U331(X1,X2,X3))
[369] U332(mark(X1),X2) -> mark(U332(X1,X2))
[370] U333(mark(X1),X2) -> mark(U333(X1,X2))
[371] U334(mark(X1),X2) -> mark(U334(X1,X2))
[372] U341(mark(X1),X2,X3) -> mark(U341(X1,X2,X3))
[373] U342(mark(X1),X2,X3) -> mark(U342(X1,X2,X3))
[374] U343(mark(X1),X2,X3) -> mark(U343(X1,X2,X3))
[375] U344(mark(X1),X2,X3) -> mark(U344(X1,X2,X3))
[376] fst(mark(X)) -> mark(fst(X))
[377] U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3))
[378] U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3))
[379] U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3))
[380] U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3))
[381] U45(mark(X1),X2) -> mark(U45(X1,X2))
[382] U46(mark(X)) -> mark(U46(X))
[383] U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3))
[384] U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3))
[385] U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3))
[386] U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3))
[387] U55(mark(X1),X2) -> mark(U55(X1,X2))
[388] U56(mark(X)) -> mark(U56(X))
[389] U61(mark(X1),X2) -> mark(U61(X1,X2))
[390] U62(mark(X1),X2) -> mark(U62(X1,X2))
[391] U63(mark(X)) -> mark(U63(X))
[392] U71(mark(X1),X2) -> mark(U71(X1,X2))
[393] U72(mark(X1),X2) -> mark(U72(X1,X2))
[394] U73(mark(X)) -> mark(U73(X))
[395] U81(mark(X1),X2) -> mark(U81(X1,X2))
[396] U82(mark(X1),X2) -> mark(U82(X1,X2))
[397] U83(mark(X)) -> mark(U83(X))
[398] U91(mark(X1),X2) -> mark(U91(X1,X2))
[399] U92(mark(X1),X2) -> mark(U92(X1,X2))
[400] U93(mark(X)) -> mark(U93(X))
[401] tail(mark(X)) -> mark(tail(X))
[402] take(mark(X1),X2) -> mark(take(X1,X2))
[403] take(X1,mark(X2)) -> mark(take(X1,X2))
[404] sel(mark(X1),X2) -> mark(sel(X1,X2))
[405] sel(X1,mark(X2)) -> mark(sel(X1,X2))
[406] proper(U101(X1,X2,X3)) -> U101(proper(X1),proper(X2),proper(X3))
[407] proper(tt) -> ok(tt)
[408] proper(U102(X1,X2,X3)) -> U102(proper(X1),proper(X2),proper(X3))
[409] proper(isNaturalKind(X)) -> isNaturalKind(proper(X))
[410] proper(U103(X1,X2,X3)) -> U103(proper(X1),proper(X2),proper(X3))
[411] proper(isLNatKind(X)) -> isLNatKind(proper(X))
[412] proper(U104(X1,X2,X3)) -> U104(proper(X1),proper(X2),proper(X3))
[413] proper(U105(X1,X2)) -> U105(proper(X1),proper(X2))
[414] proper(isNatural(X)) -> isNatural(proper(X))
[415] proper(U106(X)) -> U106(proper(X))
[416] proper(isLNat(X)) -> isLNat(proper(X))
[417] proper(U11(X1,X2,X3)) -> U11(proper(X1),proper(X2),proper(X3))
[418] proper(U12(X1,X2,X3)) -> U12(proper(X1),proper(X2),proper(X3))
[419] proper(U111(X1,X2)) -> U111(proper(X1),proper(X2))
[420] proper(U112(X)) -> U112(proper(X))
[421] proper(U13(X1,X2,X3)) -> U13(proper(X1),proper(X2),proper(X3))
[422] proper(U121(X1,X2)) -> U121(proper(X1),proper(X2))
[423] proper(U122(X)) -> U122(proper(X))
[424] proper(U14(X1,X2,X3)) -> U14(proper(X1),proper(X2),proper(X3))
[425] proper(U131(X)) -> U131(proper(X))
[426] proper(snd(X)) -> snd(proper(X))
[427] proper(splitAt(X1,X2)) -> splitAt(proper(X1),proper(X2))
[428] proper(U141(X)) -> U141(proper(X))
[429] proper(U151(X)) -> U151(proper(X))
[430] proper(U161(X)) -> U161(proper(X))
[431] proper(U171(X1,X2)) -> U171(proper(X1),proper(X2))
[432] proper(U172(X)) -> U172(proper(X))
[433] proper(U181(X1,X2)) -> U181(proper(X1),proper(X2))
[434] proper(U182(X1,X2)) -> U182(proper(X1),proper(X2))
[435] proper(U183(X)) -> U183(proper(X))
[436] proper(U191(X1,X2)) -> U191(proper(X1),proper(X2))
[437] proper(U192(X1,X2)) -> U192(proper(X1),proper(X2))
[438] proper(U193(X)) -> U193(proper(X))
[439] proper(U201(X1,X2,X3)) -> U201(proper(X1),proper(X2),proper(X3))
[440] proper(U202(X1,X2,X3)) -> U202(proper(X1),proper(X2),proper(X3))
[441] proper(U203(X1,X2,X3)) -> U203(proper(X1),proper(X2),proper(X3))
[442] proper(U204(X1,X2,X3)) -> U204(proper(X1),proper(X2),proper(X3))
[443] proper(U205(X1,X2)) -> U205(proper(X1),proper(X2))
[444] proper(U206(X)) -> U206(proper(X))
[445] proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3))
[446] proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3))
[447] proper(U211(X)) -> U211(proper(X))
[448] proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3))
[449] proper(U221(X)) -> U221(proper(X))
[450] proper(U24(X1,X2)) -> U24(proper(X1),proper(X2))
[451] proper(U231(X1,X2)) -> U231(proper(X1),proper(X2))
[452] proper(U232(X)) -> U232(proper(X))
[453] proper(U241(X1,X2,X3)) -> U241(proper(X1),proper(X2),proper(X3))
[454] proper(U242(X1,X2,X3)) -> U242(proper(X1),proper(X2),proper(X3))
[455] proper(U243(X1,X2,X3)) -> U243(proper(X1),proper(X2),proper(X3))
[456] proper(U244(X1,X2,X3)) -> U244(proper(X1),proper(X2),proper(X3))
[457] proper(U245(X1,X2)) -> U245(proper(X1),proper(X2))
[458] proper(U246(X)) -> U246(proper(X))
[459] proper(U251(X1,X2,X3)) -> U251(proper(X1),proper(X2),proper(X3))
[460] proper(U252(X1,X2,X3)) -> U252(proper(X1),proper(X2),proper(X3))
[461] proper(U253(X1,X2,X3)) -> U253(proper(X1),proper(X2),proper(X3))
[462] proper(U254(X1,X2,X3)) -> U254(proper(X1),proper(X2),proper(X3))
[463] proper(U255(X1,X2)) -> U255(proper(X1),proper(X2))
[464] proper(U256(X)) -> U256(proper(X))
[465] proper(U261(X1,X2)) -> U261(proper(X1),proper(X2))
[466] proper(U262(X)) -> U262(proper(X))
[467] proper(U271(X1,X2)) -> U271(proper(X1),proper(X2))
[468] proper(U272(X)) -> U272(proper(X))
[469] proper(U281(X1,X2)) -> U281(proper(X1),proper(X2))
[470] proper(U282(X1,X2)) -> U282(proper(X1),proper(X2))
[471] proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
[472] proper(natsFrom(X)) -> natsFrom(proper(X))
[473] proper(s(X)) -> s(proper(X))
[474] proper(U291(X1,X2,X3)) -> U291(proper(X1),proper(X2),proper(X3))
[475] proper(U292(X1,X2,X3)) -> U292(proper(X1),proper(X2),proper(X3))
[476] proper(U293(X1,X2,X3)) -> U293(proper(X1),proper(X2),proper(X3))
[477] proper(U294(X1,X2,X3)) -> U294(proper(X1),proper(X2),proper(X3))
[478] proper(head(X)) -> head(proper(X))
[479] proper(afterNth(X1,X2)) -> afterNth(proper(X1),proper(X2))
[480] proper(U301(X1,X2,X3)) -> U301(proper(X1),proper(X2),proper(X3))
[481] proper(U302(X1,X2)) -> U302(proper(X1),proper(X2))
[482] proper(U303(X1,X2)) -> U303(proper(X1),proper(X2))
[483] proper(U304(X1,X2)) -> U304(proper(X1),proper(X2))
[484] proper(U31(X1,X2,X3)) -> U31(proper(X1),proper(X2),proper(X3))
[485] proper(U32(X1,X2,X3)) -> U32(proper(X1),proper(X2),proper(X3))
[486] proper(U311(X1,X2)) -> U311(proper(X1),proper(X2))
[487] proper(U312(X1,X2)) -> U312(proper(X1),proper(X2))
[488] proper(pair(X1,X2)) -> pair(proper(X1),proper(X2))
[489] proper(nil) -> ok(nil)
[490] proper(U33(X1,X2,X3)) -> U33(proper(X1),proper(X2),proper(X3))
[491] proper(U321(X1,X2,X3,X4)) ->
 U321(proper(X1),proper(X2),proper(X3),proper(X4))
[492] proper(U322(X1,X2,X3,X4)) ->
 U322(proper(X1),proper(X2),proper(X3),proper(X4))
[493] proper(U323(X1,X2,X3,X4)) ->
 U323(proper(X1),proper(X2),proper(X3),proper(X4))
[494] proper(U324(X1,X2,X3,X4)) ->
 U324(proper(X1),proper(X2),proper(X3),proper(X4))
[495] proper(U325(X1,X2,X3,X4)) ->
 U325(proper(X1),proper(X2),proper(X3),proper(X4))
[496] proper(U326(X1,X2,X3,X4)) ->
 U326(proper(X1),proper(X2),proper(X3),proper(X4))
[497] proper(U327(X1,X2)) -> U327(proper(X1),proper(X2))
[498] proper(U34(X1,X2)) -> U34(proper(X1),proper(X2))
[499] proper(U331(X1,X2,X3)) -> U331(proper(X1),proper(X2),proper(X3))
[500] proper(U332(X1,X2)) -> U332(proper(X1),proper(X2))
[501] proper(U333(X1,X2)) -> U333(proper(X1),proper(X2))
[502] proper(U334(X1,X2)) -> U334(proper(X1),proper(X2))
[503] proper(U341(X1,X2,X3)) -> U341(proper(X1),proper(X2),proper(X3))
[504] proper(U342(X1,X2,X3)) -> U342(proper(X1),proper(X2),proper(X3))
[505] proper(U343(X1,X2,X3)) -> U343(proper(X1),proper(X2),proper(X3))
[506] proper(U344(X1,X2,X3)) -> U344(proper(X1),proper(X2),proper(X3))
[507] proper(fst(X)) -> fst(proper(X))
[508] proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3))
[509] proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3))
[510] proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3))
[511] proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3))
[512] proper(U45(X1,X2)) -> U45(proper(X1),proper(X2))
[513] proper(U46(X)) -> U46(proper(X))
[514] proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3))
[515] proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3))
[516] proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3))
[517] proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3))
[518] proper(U55(X1,X2)) -> U55(proper(X1),proper(X2))
[519] proper(U56(X)) -> U56(proper(X))
[520] proper(U61(X1,X2)) -> U61(proper(X1),proper(X2))
[521] proper(U62(X1,X2)) -> U62(proper(X1),proper(X2))
[522] proper(isPLNatKind(X)) -> isPLNatKind(proper(X))
[523] proper(U63(X)) -> U63(proper(X))
[524] proper(isPLNat(X)) -> isPLNat(proper(X))
[525] proper(U71(X1,X2)) -> U71(proper(X1),proper(X2))
[526] proper(U72(X1,X2)) -> U72(proper(X1),proper(X2))
[527] proper(U73(X)) -> U73(proper(X))
[528] proper(U81(X1,X2)) -> U81(proper(X1),proper(X2))
[529] proper(U82(X1,X2)) -> U82(proper(X1),proper(X2))
[530] proper(U83(X)) -> U83(proper(X))
[531] proper(U91(X1,X2)) -> U91(proper(X1),proper(X2))
[532] proper(U92(X1,X2)) -> U92(proper(X1),proper(X2))
[533] proper(U93(X)) -> U93(proper(X))
[534] proper(tail(X)) -> tail(proper(X))
[535] proper(take(X1,X2)) -> take(proper(X1),proper(X2))
[536] proper(0) -> ok(0)
[537] proper(sel(X1,X2)) -> sel(proper(X1),proper(X2))
[538] U101(ok(X1),ok(X2),ok(X3)) -> ok(U101(X1,X2,X3))
[539] U102(ok(X1),ok(X2),ok(X3)) -> ok(U102(X1,X2,X3))
[540] isNaturalKind(ok(X)) -> ok(isNaturalKind(X))
[541] U103(ok(X1),ok(X2),ok(X3)) -> ok(U103(X1,X2,X3))
[542] isLNatKind(ok(X)) -> ok(isLNatKind(X))
[543] U104(ok(X1),ok(X2),ok(X3)) -> ok(U104(X1,X2,X3))
[544] U105(ok(X1),ok(X2)) -> ok(U105(X1,X2))
[545] isNatural(ok(X)) -> ok(isNatural(X))
[546] U106(ok(X)) -> ok(U106(X))
[547] isLNat(ok(X)) -> ok(isLNat(X))
[548] U11(ok(X1),ok(X2),ok(X3)) -> ok(U11(X1,X2,X3))
[549] U12(ok(X1),ok(X2),ok(X3)) -> ok(U12(X1,X2,X3))
[550] U111(ok(X1),ok(X2)) -> ok(U111(X1,X2))
[551] U112(ok(X)) -> ok(U112(X))
[552] U13(ok(X1),ok(X2),ok(X3)) -> ok(U13(X1,X2,X3))
[553] U121(ok(X1),ok(X2)) -> ok(U121(X1,X2))
[554] U122(ok(X)) -> ok(U122(X))
[555] U14(ok(X1),ok(X2),ok(X3)) -> ok(U14(X1,X2,X3))
[556] U131(ok(X)) -> ok(U131(X))
[557] snd(ok(X)) -> ok(snd(X))
[558] splitAt(ok(X1),ok(X2)) -> ok(splitAt(X1,X2))
[559] U141(ok(X)) -> ok(U141(X))
[560] U151(ok(X)) -> ok(U151(X))
[561] U161(ok(X)) -> ok(U161(X))
[562] U171(ok(X1),ok(X2)) -> ok(U171(X1,X2))
[563] U172(ok(X)) -> ok(U172(X))
[564] U181(ok(X1),ok(X2)) -> ok(U181(X1,X2))
[565] U182(ok(X1),ok(X2)) -> ok(U182(X1,X2))
[566] U183(ok(X)) -> ok(U183(X))
[567] U191(ok(X1),ok(X2)) -> ok(U191(X1,X2))
[568] U192(ok(X1),ok(X2)) -> ok(U192(X1,X2))
[569] U193(ok(X)) -> ok(U193(X))
[570] U201(ok(X1),ok(X2),ok(X3)) -> ok(U201(X1,X2,X3))
[571] U202(ok(X1),ok(X2),ok(X3)) -> ok(U202(X1,X2,X3))
[572] U203(ok(X1),ok(X2),ok(X3)) -> ok(U203(X1,X2,X3))
[573] U204(ok(X1),ok(X2),ok(X3)) -> ok(U204(X1,X2,X3))
[574] U205(ok(X1),ok(X2)) -> ok(U205(X1,X2))
[575] U206(ok(X)) -> ok(U206(X))
[576] U21(ok(X1),ok(X2),ok(X3)) -> ok(U21(X1,X2,X3))
[577] U22(ok(X1),ok(X2),ok(X3)) -> ok(U22(X1,X2,X3))
[578] U211(ok(X)) -> ok(U211(X))
[579] U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3))
[580] U221(ok(X)) -> ok(U221(X))
[581] U24(ok(X1),ok(X2)) -> ok(U24(X1,X2))
[582] U231(ok(X1),ok(X2)) -> ok(U231(X1,X2))
[583] U232(ok(X)) -> ok(U232(X))
[584] U241(ok(X1),ok(X2),ok(X3)) -> ok(U241(X1,X2,X3))
[585] U242(ok(X1),ok(X2),ok(X3)) -> ok(U242(X1,X2,X3))
[586] U243(ok(X1),ok(X2),ok(X3)) -> ok(U243(X1,X2,X3))
[587] U244(ok(X1),ok(X2),ok(X3)) -> ok(U244(X1,X2,X3))
[588] U245(ok(X1),ok(X2)) -> ok(U245(X1,X2))
[589] U246(ok(X)) -> ok(U246(X))
[590] U251(ok(X1),ok(X2),ok(X3)) -> ok(U251(X1,X2,X3))
[591] U252(ok(X1),ok(X2),ok(X3)) -> ok(U252(X1,X2,X3))
[592] U253(ok(X1),ok(X2),ok(X3)) -> ok(U253(X1,X2,X3))
[593] U254(ok(X1),ok(X2),ok(X3)) -> ok(U254(X1,X2,X3))
[594] U255(ok(X1),ok(X2)) -> ok(U255(X1,X2))
[595] U256(ok(X)) -> ok(U256(X))
[596] U261(ok(X1),ok(X2)) -> ok(U261(X1,X2))
[597] U262(ok(X)) -> ok(U262(X))
[598] U271(ok(X1),ok(X2)) -> ok(U271(X1,X2))
[599] U272(ok(X)) -> ok(U272(X))
[600] U281(ok(X1),ok(X2)) -> ok(U281(X1,X2))
[601] U282(ok(X1),ok(X2)) -> ok(U282(X1,X2))
[602] cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
[603] natsFrom(ok(X)) -> ok(natsFrom(X))
[604] s(ok(X)) -> ok(s(X))
[605] U291(ok(X1),ok(X2),ok(X3)) -> ok(U291(X1,X2,X3))
[606] U292(ok(X1),ok(X2),ok(X3)) -> ok(U292(X1,X2,X3))
[607] U293(ok(X1),ok(X2),ok(X3)) -> ok(U293(X1,X2,X3))
[608] U294(ok(X1),ok(X2),ok(X3)) -> ok(U294(X1,X2,X3))
[609] head(ok(X)) -> ok(head(X))
[610] afterNth(ok(X1),ok(X2)) -> ok(afterNth(X1,X2))
[611] U301(ok(X1),ok(X2),ok(X3)) -> ok(U301(X1,X2,X3))
[612] U302(ok(X1),ok(X2)) -> ok(U302(X1,X2))
[613] U303(ok(X1),ok(X2)) -> ok(U303(X1,X2))
[614] U304(ok(X1),ok(X2)) -> ok(U304(X1,X2))
[615] U31(ok(X1),ok(X2),ok(X3)) -> ok(U31(X1,X2,X3))
[616] U32(ok(X1),ok(X2),ok(X3)) -> ok(U32(X1,X2,X3))
[617] U311(ok(X1),ok(X2)) -> ok(U311(X1,X2))
[618] U312(ok(X1),ok(X2)) -> ok(U312(X1,X2))
[619] pair(ok(X1),ok(X2)) -> ok(pair(X1,X2))
[620] U33(ok(X1),ok(X2),ok(X3)) -> ok(U33(X1,X2,X3))
[621] U321(ok(X1),ok(X2),ok(X3),ok(X4)) -> ok(U321(X1,X2,X3,X4))
[622] U322(ok(X1),ok(X2),ok(X3),ok(X4)) -> ok(U322(X1,X2,X3,X4))
[623] U323(ok(X1),ok(X2),ok(X3),ok(X4)) -> ok(U323(X1,X2,X3,X4))
[624] U324(ok(X1),ok(X2),ok(X3),ok(X4)) -> ok(U324(X1,X2,X3,X4))
[625] U325(ok(X1),ok(X2),ok(X3),ok(X4)) -> ok(U325(X1,X2,X3,X4))
[626] U326(ok(X1),ok(X2),ok(X3),ok(X4)) -> ok(U326(X1,X2,X3,X4))
[627] U327(ok(X1),ok(X2)) -> ok(U327(X1,X2))
[628] U34(ok(X1),ok(X2)) -> ok(U34(X1,X2))
[629] U331(ok(X1),ok(X2),ok(X3)) -> ok(U331(X1,X2,X3))
[630] U332(ok(X1),ok(X2)) -> ok(U332(X1,X2))
[631] U333(ok(X1),ok(X2)) -> ok(U333(X1,X2))
[632] U334(ok(X1),ok(X2)) -> ok(U334(X1,X2))
[633] U341(ok(X1),ok(X2),ok(X3)) -> ok(U341(X1,X2,X3))
[634] U342(ok(X1),ok(X2),ok(X3)) -> ok(U342(X1,X2,X3))
[635] U343(ok(X1),ok(X2),ok(X3)) -> ok(U343(X1,X2,X3))
[636] U344(ok(X1),ok(X2),ok(X3)) -> ok(U344(X1,X2,X3))
[637] fst(ok(X)) -> ok(fst(X))
[638] U41(ok(X1),ok(X2),ok(X3)) -> ok(U41(X1,X2,X3))
[639] U42(ok(X1),ok(X2),ok(X3)) -> ok(U42(X1,X2,X3))
[640] U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3))
[641] U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3))
[642] U45(ok(X1),ok(X2)) -> ok(U45(X1,X2))
[643] U46(ok(X)) -> ok(U46(X))
[644] U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3))
[645] U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3))
[646] U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3))
[647] U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3))
[648] U55(ok(X1),ok(X2)) -> ok(U55(X1,X2))
[649] U56(ok(X)) -> ok(U56(X))
[650] U61(ok(X1),ok(X2)) -> ok(U61(X1,X2))
[651] U62(ok(X1),ok(X2)) -> ok(U62(X1,X2))
[652] isPLNatKind(ok(X)) -> ok(isPLNatKind(X))
[653] U63(ok(X)) -> ok(U63(X))
[654] isPLNat(ok(X)) -> ok(isPLNat(X))
[655] U71(ok(X1),ok(X2)) -> ok(U71(X1,X2))
[656] U72(ok(X1),ok(X2)) -> ok(U72(X1,X2))
[657] U73(ok(X)) -> ok(U73(X))
[658] U81(ok(X1),ok(X2)) -> ok(U81(X1,X2))
[659] U82(ok(X1),ok(X2)) -> ok(U82(X1,X2))
[660] U83(ok(X)) -> ok(U83(X))
[661] U91(ok(X1),ok(X2)) -> ok(U91(X1,X2))
[662] U92(ok(X1),ok(X2)) -> ok(U92(X1,X2))
[663] U93(ok(X)) -> ok(U93(X))
[664] tail(ok(X)) -> ok(tail(X))
[665] take(ok(X1),ok(X2)) -> ok(take(X1,X2))
[666] sel(ok(X1),ok(X2)) -> ok(sel(X1,X2))
[667] top(mark(X)) -> top(proper(X))
[668] top(ok(X)) -> top(active(X))


Sub problem: 
guided: 

DP termination of:
<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_U103(isLNatKind(V2),V1,V2)>
<Marked_active(U102(tt,V1,V2)) , Marked_isLNatKind(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_U105(isNatural(V1),V2)>
<Marked_active(U104(tt,V1,V2)) , Marked_isNatural(V1)>
<Marked_active(U105(tt,V2)) , Marked_U106(isLNat(V2))>
<Marked_active(U105(tt,V2)) , Marked_isLNat(V2)>
<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_U112(isLNatKind(V2))>
<Marked_active(U111(tt,V2)) , Marked_isLNatKind(V2)>
<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_U122(isLNatKind(V2))>
<Marked_active(U121(tt,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U13(tt,N,XS)) , Marked_U14(isLNatKind(XS),N,XS)>
<Marked_active(U13(tt,N,XS)) , Marked_isLNatKind(XS)>
<Marked_active(U14(tt,N,XS)) , Marked_snd(splitAt(N,XS))>
<Marked_active(U14(tt,N,XS)) , Marked_splitAt(N,XS)>
<Marked_active(U171(tt,V2)) , Marked_U172(isLNatKind(V2))>
<Marked_active(U171(tt,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U181(tt,V1)) , Marked_U182(isLNatKind(V1),V1)>
<Marked_active(U181(tt,V1)) , Marked_isLNatKind(V1)>
<Marked_active(U182(tt,V1)) , Marked_U183(isLNat(V1))>
<Marked_active(U182(tt,V1)) , Marked_isLNat(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_U193(isNatural(V1))>
<Marked_active(U192(tt,V1)) , Marked_isNatural(V1)>
<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_U203(isLNatKind(V2),V1,V2)>
<Marked_active(U202(tt,V1,V2)) , Marked_isLNatKind(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_U205(isNatural(V1),V2)>
<Marked_active(U204(tt,V1,V2)) , Marked_isNatural(V1)>
<Marked_active(U205(tt,V2)) , Marked_U206(isLNat(V2))>
<Marked_active(U205(tt,V2)) , Marked_isLNat(V2)>
<Marked_active(U21(tt,X,Y)) , Marked_U22(isLNatKind(X),X,Y)>
<Marked_active(U21(tt,X,Y)) , Marked_isLNatKind(X)>
<Marked_active(U22(tt,X,Y)) , Marked_U23(isLNat(Y),X,Y)>
<Marked_active(U22(tt,X,Y)) , Marked_isLNat(Y)>
<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_U232(isLNatKind(V2))>
<Marked_active(U231(tt,V2)) , Marked_isLNatKind(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_U243(isLNatKind(V2),V1,V2)>
<Marked_active(U242(tt,V1,V2)) , Marked_isLNatKind(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_U245(isLNat(V1),V2)>
<Marked_active(U244(tt,V1,V2)) , Marked_isLNat(V1)>
<Marked_active(U245(tt,V2)) , Marked_U246(isLNat(V2))>
<Marked_active(U245(tt,V2)) , Marked_isLNat(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_U253(isLNatKind(V2),V1,V2)>
<Marked_active(U252(tt,V1,V2)) , Marked_isLNatKind(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_U255(isNatural(V1),V2)>
<Marked_active(U254(tt,V1,V2)) , Marked_isNatural(V1)>
<Marked_active(U255(tt,V2)) , Marked_U256(isLNat(V2))>
<Marked_active(U255(tt,V2)) , Marked_isLNat(V2)>
<Marked_active(U261(tt,V2)) , Marked_U262(isLNatKind(V2))>
<Marked_active(U261(tt,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U271(tt,V2)) , Marked_U272(isLNatKind(V2))>
<Marked_active(U271(tt,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U281(tt,N)) , Marked_U282(isNaturalKind(N),N)>
<Marked_active(U281(tt,N)) , Marked_isNaturalKind(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_U292(isNaturalKind(N),N,XS)>
<Marked_active(U291(tt,N,XS)) , Marked_isNaturalKind(N)>
<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_U294(isLNatKind(XS),N,XS)>
<Marked_active(U293(tt,N,XS)) , Marked_isLNatKind(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_U302(isLNatKind(X),Y)>
<Marked_active(U301(tt,X,Y)) , Marked_isLNatKind(X)>
<Marked_active(U302(tt,Y)) , Marked_U303(isLNat(Y),Y)>
<Marked_active(U302(tt,Y)) , Marked_isLNat(Y)>
<Marked_active(U303(tt,Y)) , Marked_U304(isLNatKind(Y),Y)>
<Marked_active(U303(tt,Y)) , Marked_isLNatKind(Y)>
<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_U312(isLNatKind(XS),XS)>
<Marked_active(U311(tt,XS)) , Marked_isLNatKind(XS)>
<Marked_active(U312(tt,XS)) , Marked_pair(nil,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_U322(isNaturalKind(N),N,X,XS)>
<Marked_active(U321(tt,N,X,XS)) , Marked_isNaturalKind(N)>
<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_U324(isNaturalKind(X),N,X,XS)>
<Marked_active(U323(tt,N,X,XS)) , Marked_isNaturalKind(X)>
<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_U326(isLNatKind(XS),N,X,XS)>
<Marked_active(U325(tt,N,X,XS)) , Marked_isLNatKind(XS)>
<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_pair(cons(X,YS),ZS)>
<Marked_active(U327(pair(YS,ZS),X)) , Marked_cons(X,YS)>
<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_U332(isNaturalKind(N),XS)>
<Marked_active(U331(tt,N,XS)) , Marked_isNaturalKind(N)>
<Marked_active(U332(tt,XS)) , Marked_U333(isLNat(XS),XS)>
<Marked_active(U332(tt,XS)) , Marked_isLNat(XS)>
<Marked_active(U333(tt,XS)) , Marked_U334(isLNatKind(XS),XS)>
<Marked_active(U333(tt,XS)) , Marked_isLNatKind(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_U343(isLNat(XS),N,XS)>
<Marked_active(U342(tt,N,XS)) , Marked_isLNat(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_fst(splitAt(N,XS))>
<Marked_active(U344(tt,N,XS)) , Marked_splitAt(N,XS)>
<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_U43(isLNatKind(V2),V1,V2)>
<Marked_active(U42(tt,V1,V2)) , Marked_isLNatKind(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_U45(isNatural(V1),V2)>
<Marked_active(U44(tt,V1,V2)) , Marked_isNatural(V1)>
<Marked_active(U45(tt,V2)) , Marked_U46(isLNat(V2))>
<Marked_active(U45(tt,V2)) , Marked_isLNat(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_U53(isLNatKind(V2),V1,V2)>
<Marked_active(U52(tt,V1,V2)) , Marked_isLNatKind(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_U55(isNatural(V1),V2)>
<Marked_active(U54(tt,V1,V2)) , Marked_isNatural(V1)>
<Marked_active(U55(tt,V2)) , Marked_U56(isLNat(V2))>
<Marked_active(U55(tt,V2)) , Marked_isLNat(V2)>
<Marked_active(U61(tt,V1)) , Marked_U62(isPLNatKind(V1),V1)>
<Marked_active(U61(tt,V1)) , Marked_isPLNatKind(V1)>
<Marked_active(U62(tt,V1)) , Marked_U63(isPLNat(V1))>
<Marked_active(U62(tt,V1)) , Marked_isPLNat(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_U73(isNatural(V1))>
<Marked_active(U72(tt,V1)) , Marked_isNatural(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_U83(isPLNat(V1))>
<Marked_active(U82(tt,V1)) , Marked_isPLNat(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_U93(isLNat(V1))>
<Marked_active(U92(tt,V1)) , Marked_isLNat(V1)>
<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_U21(isLNat(X),X,Y)>
<Marked_active(fst(pair(X,Y))) , Marked_isLNat(X)>
<Marked_active(head(cons(N,XS))) , Marked_U31(isNatural(N),N,XS)>
<Marked_active(head(cons(N,XS))) , Marked_isNatural(N)>
<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_U51(isNaturalKind(V1),V1,V2)>
<Marked_active(isLNat(cons(V1,V2))) , Marked_isNaturalKind(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_U71(isNaturalKind(V1),V1)>
<Marked_active(isLNat(natsFrom(V1))) , Marked_isNaturalKind(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_U91(isLNatKind(V1),V1)>
<Marked_active(isLNat(tail(V1))) , Marked_isLNatKind(V1)>
<Marked_active(isLNat(take(V1,V2))) , Marked_U101(isNaturalKind(V1),V1,V2)>
<Marked_active(isLNat(take(V1,V2))) , Marked_isNaturalKind(V1)>
<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_U121(isNaturalKind(V1),V2)>
<Marked_active(isLNatKind(cons(V1,V2))) , Marked_isNaturalKind(V1)>
<Marked_active(isLNatKind(fst(V1))) , Marked_U131(isPLNatKind(V1))>
<Marked_active(isLNatKind(fst(V1))) , Marked_isPLNatKind(V1)>
<Marked_active(isLNatKind(natsFrom(V1))) , Marked_U141(isNaturalKind(V1))>
<Marked_active(isLNatKind(natsFrom(V1))) , Marked_isNaturalKind(V1)>
<Marked_active(isLNatKind(snd(V1))) , Marked_U151(isPLNatKind(V1))>
<Marked_active(isLNatKind(snd(V1))) , Marked_isPLNatKind(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_U171(isNaturalKind(V1),V2)>
<Marked_active(isLNatKind(take(V1,V2))) , Marked_isNaturalKind(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_U191(isNaturalKind(V1),V1)>
<Marked_active(isNatural(s(V1))) , Marked_isNaturalKind(V1)>
<Marked_active(isNatural(sel(V1,V2))) , Marked_U201(isNaturalKind(V1),V1,V2)>
<Marked_active(isNatural(sel(V1,V2))) , Marked_isNaturalKind(V1)>
<Marked_active(isNaturalKind(head(V1))) , Marked_U211(isLNatKind(V1))>
<Marked_active(isNaturalKind(head(V1))) , Marked_isLNatKind(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_U231(isNaturalKind(V1),V2)>
<Marked_active(isNaturalKind(sel(V1,V2))) , Marked_isNaturalKind(V1)>
<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_U251(isNaturalKind(V1),V1,V2)>
<Marked_active(isPLNat(splitAt(V1,V2))) , Marked_isNaturalKind(V1)>
<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_U271(isNaturalKind(V1),V2)>
<Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_isNaturalKind(V1)>
<Marked_active(natsFrom(N)) , Marked_U281(isNatural(N),N)>
<Marked_active(natsFrom(N)) , Marked_isNatural(N)>
<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_U301(isLNat(X),X,Y)>
<Marked_active(snd(pair(X,Y))) , Marked_isLNat(X)>
<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_U321(isNatural(N),N,X,XS)>
<Marked_active(splitAt(s(N),cons(X,XS))) , Marked_isNatural(N)>
<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_U341(isNatural(N),N,XS)>
<Marked_active(take(N,XS)) , Marked_isNatural(N)>
<Marked_active(U101(X1,X2,X3)) , Marked_U101(active(X1),X2,X3)>
<Marked_active(U101(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U102(X1,X2,X3)) , Marked_U102(active(X1),X2,X3)>
<Marked_active(U102(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U103(X1,X2,X3)) , Marked_U103(active(X1),X2,X3)>
<Marked_active(U103(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U104(X1,X2,X3)) , Marked_U104(active(X1),X2,X3)>
<Marked_active(U104(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U105(X1,X2)) , Marked_U105(active(X1),X2)>
<Marked_active(U105(X1,X2)) , Marked_active(X1)>
<Marked_active(U106(X)) , Marked_U106(active(X))>
<Marked_active(U106(X)) , Marked_active(X)>
<Marked_active(U11(X1,X2,X3)) , Marked_U11(active(X1),X2,X3)>
<Marked_active(U11(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U12(X1,X2,X3)) , Marked_U12(active(X1),X2,X3)>
<Marked_active(U12(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U111(X1,X2)) , Marked_U111(active(X1),X2)>
<Marked_active(U111(X1,X2)) , Marked_active(X1)>
<Marked_active(U112(X)) , Marked_U112(active(X))>
<Marked_active(U112(X)) , Marked_active(X)>
<Marked_active(U13(X1,X2,X3)) , Marked_U13(active(X1),X2,X3)>
<Marked_active(U13(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U121(X1,X2)) , Marked_U121(active(X1),X2)>
<Marked_active(U121(X1,X2)) , Marked_active(X1)>
<Marked_active(U122(X)) , Marked_U122(active(X))>
<Marked_active(U122(X)) , Marked_active(X)>
<Marked_active(U14(X1,X2,X3)) , Marked_U14(active(X1),X2,X3)>
<Marked_active(U14(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U131(X)) , Marked_U131(active(X))>
<Marked_active(U131(X)) , Marked_active(X)>
<Marked_active(snd(X)) , Marked_snd(active(X))>
<Marked_active(snd(X)) , Marked_active(X)>
<Marked_active(splitAt(X1,X2)) , Marked_splitAt(active(X1),X2)>
<Marked_active(splitAt(X1,X2)) , Marked_active(X1)>
<Marked_active(splitAt(X1,X2)) , Marked_splitAt(X1,active(X2))>
<Marked_active(splitAt(X1,X2)) , Marked_active(X2)>
<Marked_active(U141(X)) , Marked_U141(active(X))>
<Marked_active(U141(X)) , Marked_active(X)>
<Marked_active(U151(X)) , Marked_U151(active(X))>
<Marked_active(U151(X)) , Marked_active(X)>
<Marked_active(U161(X)) , Marked_U161(active(X))>
<Marked_active(U161(X)) , Marked_active(X)>
<Marked_active(U171(X1,X2)) , Marked_U171(active(X1),X2)>
<Marked_active(U171(X1,X2)) , Marked_active(X1)>
<Marked_active(U172(X)) , Marked_U172(active(X))>
<Marked_active(U172(X)) , Marked_active(X)>
<Marked_active(U181(X1,X2)) , Marked_U181(active(X1),X2)>
<Marked_active(U181(X1,X2)) , Marked_active(X1)>
<Marked_active(U182(X1,X2)) , Marked_U182(active(X1),X2)>
<Marked_active(U182(X1,X2)) , Marked_active(X1)>
<Marked_active(U183(X)) , Marked_U183(active(X))>
<Marked_active(U183(X)) , Marked_active(X)>
<Marked_active(U191(X1,X2)) , Marked_U191(active(X1),X2)>
<Marked_active(U191(X1,X2)) , Marked_active(X1)>
<Marked_active(U192(X1,X2)) , Marked_U192(active(X1),X2)>
<Marked_active(U192(X1,X2)) , Marked_active(X1)>
<Marked_active(U193(X)) , Marked_U193(active(X))>
<Marked_active(U193(X)) , Marked_active(X)>
<Marked_active(U201(X1,X2,X3)) , Marked_U201(active(X1),X2,X3)>
<Marked_active(U201(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U202(X1,X2,X3)) , Marked_U202(active(X1),X2,X3)>
<Marked_active(U202(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U203(X1,X2,X3)) , Marked_U203(active(X1),X2,X3)>
<Marked_active(U203(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U204(X1,X2,X3)) , Marked_U204(active(X1),X2,X3)>
<Marked_active(U204(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U205(X1,X2)) , Marked_U205(active(X1),X2)>
<Marked_active(U205(X1,X2)) , Marked_active(X1)>
<Marked_active(U206(X)) , Marked_U206(active(X))>
<Marked_active(U206(X)) , Marked_active(X)>
<Marked_active(U21(X1,X2,X3)) , Marked_U21(active(X1),X2,X3)>
<Marked_active(U21(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U22(X1,X2,X3)) , Marked_U22(active(X1),X2,X3)>
<Marked_active(U22(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U211(X)) , Marked_U211(active(X))>
<Marked_active(U211(X)) , Marked_active(X)>
<Marked_active(U23(X1,X2,X3)) , Marked_U23(active(X1),X2,X3)>
<Marked_active(U23(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U221(X)) , Marked_U221(active(X))>
<Marked_active(U221(X)) , Marked_active(X)>
<Marked_active(U24(X1,X2)) , Marked_U24(active(X1),X2)>
<Marked_active(U24(X1,X2)) , Marked_active(X1)>
<Marked_active(U231(X1,X2)) , Marked_U231(active(X1),X2)>
<Marked_active(U231(X1,X2)) , Marked_active(X1)>
<Marked_active(U232(X)) , Marked_U232(active(X))>
<Marked_active(U232(X)) , Marked_active(X)>
<Marked_active(U241(X1,X2,X3)) , Marked_U241(active(X1),X2,X3)>
<Marked_active(U241(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U242(X1,X2,X3)) , Marked_U242(active(X1),X2,X3)>
<Marked_active(U242(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U243(X1,X2,X3)) , Marked_U243(active(X1),X2,X3)>
<Marked_active(U243(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U244(X1,X2,X3)) , Marked_U244(active(X1),X2,X3)>
<Marked_active(U244(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U245(X1,X2)) , Marked_U245(active(X1),X2)>
<Marked_active(U245(X1,X2)) , Marked_active(X1)>
<Marked_active(U246(X)) , Marked_U246(active(X))>
<Marked_active(U246(X)) , Marked_active(X)>
<Marked_active(U251(X1,X2,X3)) , Marked_U251(active(X1),X2,X3)>
<Marked_active(U251(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U252(X1,X2,X3)) , Marked_U252(active(X1),X2,X3)>
<Marked_active(U252(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U253(X1,X2,X3)) , Marked_U253(active(X1),X2,X3)>
<Marked_active(U253(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U254(X1,X2,X3)) , Marked_U254(active(X1),X2,X3)>
<Marked_active(U254(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U255(X1,X2)) , Marked_U255(active(X1),X2)>
<Marked_active(U255(X1,X2)) , Marked_active(X1)>
<Marked_active(U256(X)) , Marked_U256(active(X))>
<Marked_active(U256(X)) , Marked_active(X)>
<Marked_active(U261(X1,X2)) , Marked_U261(active(X1),X2)>
<Marked_active(U261(X1,X2)) , Marked_active(X1)>
<Marked_active(U262(X)) , Marked_U262(active(X))>
<Marked_active(U262(X)) , Marked_active(X)>
<Marked_active(U271(X1,X2)) , Marked_U271(active(X1),X2)>
<Marked_active(U271(X1,X2)) , Marked_active(X1)>
<Marked_active(U272(X)) , Marked_U272(active(X))>
<Marked_active(U272(X)) , Marked_active(X)>
<Marked_active(U281(X1,X2)) , Marked_U281(active(X1),X2)>
<Marked_active(U281(X1,X2)) , Marked_active(X1)>
<Marked_active(U282(X1,X2)) , Marked_U282(active(X1),X2)>
<Marked_active(U282(X1,X2)) , Marked_active(X1)>
<Marked_active(cons(X1,X2)) , Marked_cons(active(X1),X2)>
<Marked_active(cons(X1,X2)) , Marked_active(X1)>
<Marked_active(natsFrom(X)) , Marked_natsFrom(active(X))>
<Marked_active(natsFrom(X)) , Marked_active(X)>
<Marked_active(s(X)) , Marked_s(active(X))>
<Marked_active(s(X)) , Marked_active(X)>
<Marked_active(U291(X1,X2,X3)) , Marked_U291(active(X1),X2,X3)>
<Marked_active(U291(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U292(X1,X2,X3)) , Marked_U292(active(X1),X2,X3)>
<Marked_active(U292(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U293(X1,X2,X3)) , Marked_U293(active(X1),X2,X3)>
<Marked_active(U293(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U294(X1,X2,X3)) , Marked_U294(active(X1),X2,X3)>
<Marked_active(U294(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(head(X)) , Marked_head(active(X))>
<Marked_active(head(X)) , Marked_active(X)>
<Marked_active(afterNth(X1,X2)) , Marked_afterNth(active(X1),X2)>
<Marked_active(afterNth(X1,X2)) , Marked_active(X1)>
<Marked_active(afterNth(X1,X2)) , Marked_afterNth(X1,active(X2))>
<Marked_active(afterNth(X1,X2)) , Marked_active(X2)>
<Marked_active(U301(X1,X2,X3)) , Marked_U301(active(X1),X2,X3)>
<Marked_active(U301(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U302(X1,X2)) , Marked_U302(active(X1),X2)>
<Marked_active(U302(X1,X2)) , Marked_active(X1)>
<Marked_active(U303(X1,X2)) , Marked_U303(active(X1),X2)>
<Marked_active(U303(X1,X2)) , Marked_active(X1)>
<Marked_active(U304(X1,X2)) , Marked_U304(active(X1),X2)>
<Marked_active(U304(X1,X2)) , Marked_active(X1)>
<Marked_active(U31(X1,X2,X3)) , Marked_U31(active(X1),X2,X3)>
<Marked_active(U31(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U32(X1,X2,X3)) , Marked_U32(active(X1),X2,X3)>
<Marked_active(U32(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U311(X1,X2)) , Marked_U311(active(X1),X2)>
<Marked_active(U311(X1,X2)) , Marked_active(X1)>
<Marked_active(U312(X1,X2)) , Marked_U312(active(X1),X2)>
<Marked_active(U312(X1,X2)) , Marked_active(X1)>
<Marked_active(pair(X1,X2)) , Marked_pair(active(X1),X2)>
<Marked_active(pair(X1,X2)) , Marked_active(X1)>
<Marked_active(pair(X1,X2)) , Marked_pair(X1,active(X2))>
<Marked_active(pair(X1,X2)) , Marked_active(X2)>
<Marked_active(U33(X1,X2,X3)) , Marked_U33(active(X1),X2,X3)>
<Marked_active(U33(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U321(X1,X2,X3,X4)) , Marked_U321(active(X1),X2,X3,X4)>
<Marked_active(U321(X1,X2,X3,X4)) , Marked_active(X1)>
<Marked_active(U322(X1,X2,X3,X4)) , Marked_U322(active(X1),X2,X3,X4)>
<Marked_active(U322(X1,X2,X3,X4)) , Marked_active(X1)>
<Marked_active(U323(X1,X2,X3,X4)) , Marked_U323(active(X1),X2,X3,X4)>
<Marked_active(U323(X1,X2,X3,X4)) , Marked_active(X1)>
<Marked_active(U324(X1,X2,X3,X4)) , Marked_U324(active(X1),X2,X3,X4)>
<Marked_active(U324(X1,X2,X3,X4)) , Marked_active(X1)>
<Marked_active(U325(X1,X2,X3,X4)) , Marked_U325(active(X1),X2,X3,X4)>
<Marked_active(U325(X1,X2,X3,X4)) , Marked_active(X1)>
<Marked_active(U326(X1,X2,X3,X4)) , Marked_U326(active(X1),X2,X3,X4)>
<Marked_active(U326(X1,X2,X3,X4)) , Marked_active(X1)>
<Marked_active(U327(X1,X2)) , Marked_U327(active(X1),X2)>
<Marked_active(U327(X1,X2)) , Marked_active(X1)>
<Marked_active(U34(X1,X2)) , Marked_U34(active(X1),X2)>
<Marked_active(U34(X1,X2)) , Marked_active(X1)>
<Marked_active(U331(X1,X2,X3)) , Marked_U331(active(X1),X2,X3)>
<Marked_active(U331(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U332(X1,X2)) , Marked_U332(active(X1),X2)>
<Marked_active(U332(X1,X2)) , Marked_active(X1)>
<Marked_active(U333(X1,X2)) , Marked_U333(active(X1),X2)>
<Marked_active(U333(X1,X2)) , Marked_active(X1)>
<Marked_active(U334(X1,X2)) , Marked_U334(active(X1),X2)>
<Marked_active(U334(X1,X2)) , Marked_active(X1)>
<Marked_active(U341(X1,X2,X3)) , Marked_U341(active(X1),X2,X3)>
<Marked_active(U341(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U342(X1,X2,X3)) , Marked_U342(active(X1),X2,X3)>
<Marked_active(U342(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U343(X1,X2,X3)) , Marked_U343(active(X1),X2,X3)>
<Marked_active(U343(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U344(X1,X2,X3)) , Marked_U344(active(X1),X2,X3)>
<Marked_active(U344(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(fst(X)) , Marked_fst(active(X))>
<Marked_active(fst(X)) , Marked_active(X)>
<Marked_active(U41(X1,X2,X3)) , Marked_U41(active(X1),X2,X3)>
<Marked_active(U41(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U42(X1,X2,X3)) , Marked_U42(active(X1),X2,X3)>
<Marked_active(U42(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U43(X1,X2,X3)) , Marked_U43(active(X1),X2,X3)>
<Marked_active(U43(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U44(X1,X2,X3)) , Marked_U44(active(X1),X2,X3)>
<Marked_active(U44(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U45(X1,X2)) , Marked_U45(active(X1),X2)>
<Marked_active(U45(X1,X2)) , Marked_active(X1)>
<Marked_active(U46(X)) , Marked_U46(active(X))>
<Marked_active(U46(X)) , Marked_active(X)>
<Marked_active(U51(X1,X2,X3)) , Marked_U51(active(X1),X2,X3)>
<Marked_active(U51(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U52(X1,X2,X3)) , Marked_U52(active(X1),X2,X3)>
<Marked_active(U52(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U53(X1,X2,X3)) , Marked_U53(active(X1),X2,X3)>
<Marked_active(U53(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U54(X1,X2,X3)) , Marked_U54(active(X1),X2,X3)>
<Marked_active(U54(X1,X2,X3)) , Marked_active(X1)>
<Marked_active(U55(X1,X2)) , Marked_U55(active(X1),X2)>
<Marked_active(U55(X1,X2)) , Marked_active(X1)>
<Marked_active(U56(X)) , Marked_U56(active(X))>
<Marked_active(U56(X)) , Marked_active(X)>
<Marked_active(U61(X1,X2)) , Marked_U61(active(X1),X2)>
<Marked_active(U61(X1,X2)) , Marked_active(X1)>
<Marked_active(U62(X1,X2)) , Marked_U62(active(X1),X2)>
<Marked_active(U62(X1,X2)) , Marked_active(X1)>
<Marked_active(U63(X)) , Marked_U63(active(X))>
<Marked_active(U63(X)) , Marked_active(X)>
<Marked_active(U71(X1,X2)) , Marked_U71(active(X1),X2)>
<Marked_active(U71(X1,X2)) , Marked_active(X1)>
<Marked_active(U72(X1,X2)) , Marked_U72(active(X1),X2)>
<Marked_active(U72(X1,X2)) , Marked_active(X1)>
<Marked_active(U73(X)) , Marked_U73(active(X))>
<Marked_active(U73(X)) , Marked_active(X)>
<Marked_active(U81(X1,X2)) , Marked_U81(active(X1),X2)>
<Marked_active(U81(X1,X2)) , Marked_active(X1)>
<Marked_active(U82(X1,X2)) , Marked_U82(active(X1),X2)>
<Marked_active(U82(X1,X2)) , Marked_active(X1)>
<Marked_active(U83(X)) , Marked_U83(active(X))>
<Marked_active(U83(X)) , Marked_active(X)>
<Marked_active(U91(X1,X2)) , Marked_U91(active(X1),X2)>
<Marked_active(U91(X1,X2)) , Marked_active(X1)>
<Marked_active(U92(X1,X2)) , Marked_U92(active(X1),X2)>
<Marked_active(U92(X1,X2)) , Marked_active(X1)>
<Marked_active(U93(X)) , Marked_U93(active(X))>
<Marked_active(U93(X)) , Marked_active(X)>
<Marked_active(tail(X)) , Marked_tail(active(X))>
<Marked_active(tail(X)) , Marked_active(X)>
<Marked_active(take(X1,X2)) , Marked_take(active(X1),X2)>
<Marked_active(take(X1,X2)) , Marked_active(X1)>
<Marked_active(take(X1,X2)) , Marked_take(X1,active(X2))>
<Marked_active(take(X1,X2)) , Marked_active(X2)>
<Marked_active(sel(X1,X2)) , Marked_sel(active(X1),X2)>
<Marked_active(sel(X1,X2)) , Marked_active(X1)>
<Marked_active(sel(X1,X2)) , Marked_sel(X1,active(X2))>
<Marked_active(sel(X1,X2)) , Marked_active(X2)>
<Marked_U101(mark(X1),X2,X3) , Marked_U101(X1,X2,X3)>
<Marked_U102(mark(X1),X2,X3) , Marked_U102(X1,X2,X3)>
<Marked_U103(mark(X1),X2,X3) , Marked_U103(X1,X2,X3)>
<Marked_U104(mark(X1),X2,X3) , Marked_U104(X1,X2,X3)>
<Marked_U105(mark(X1),X2) , Marked_U105(X1,X2)>
<Marked_U106(mark(X)) , Marked_U106(X)>
<Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
<Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
<Marked_U111(mark(X1),X2) , Marked_U111(X1,X2)>
<Marked_U112(mark(X)) , Marked_U112(X)>
<Marked_U13(mark(X1),X2,X3) , Marked_U13(X1,X2,X3)>
<Marked_U121(mark(X1),X2) , Marked_U121(X1,X2)>
<Marked_U122(mark(X)) , Marked_U122(X)>
<Marked_U14(mark(X1),X2,X3) , Marked_U14(X1,X2,X3)>
<Marked_U131(mark(X)) , Marked_U131(X)>
<Marked_snd(mark(X)) , Marked_snd(X)>
<Marked_splitAt(mark(X1),X2) , Marked_splitAt(X1,X2)>
<Marked_splitAt(X1,mark(X2)) , Marked_splitAt(X1,X2)>
<Marked_U141(mark(X)) , Marked_U141(X)>
<Marked_U151(mark(X)) , Marked_U151(X)>
<Marked_U161(mark(X)) , Marked_U161(X)>
<Marked_U171(mark(X1),X2) , Marked_U171(X1,X2)>
<Marked_U172(mark(X)) , Marked_U172(X)>
<Marked_U181(mark(X1),X2) , Marked_U181(X1,X2)>
<Marked_U182(mark(X1),X2) , Marked_U182(X1,X2)>
<Marked_U183(mark(X)) , Marked_U183(X)>
<Marked_U191(mark(X1),X2) , Marked_U191(X1,X2)>
<Marked_U192(mark(X1),X2) , Marked_U192(X1,X2)>
<Marked_U193(mark(X)) , Marked_U193(X)>
<Marked_U201(mark(X1),X2,X3) , Marked_U201(X1,X2,X3)>
<Marked_U202(mark(X1),X2,X3) , Marked_U202(X1,X2,X3)>
<Marked_U203(mark(X1),X2,X3) , Marked_U203(X1,X2,X3)>
<Marked_U204(mark(X1),X2,X3) , Marked_U204(X1,X2,X3)>
<Marked_U205(mark(X1),X2) , Marked_U205(X1,X2)>
<Marked_U206(mark(X)) , Marked_U206(X)>
<Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)>
<Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
<Marked_U211(mark(X)) , Marked_U211(X)>
<Marked_U23(mark(X1),X2,X3) , Marked_U23(X1,X2,X3)>
<Marked_U221(mark(X)) , Marked_U221(X)>
<Marked_U24(mark(X1),X2) , Marked_U24(X1,X2)>
<Marked_U231(mark(X1),X2) , Marked_U231(X1,X2)>
<Marked_U232(mark(X)) , Marked_U232(X)>
<Marked_U241(mark(X1),X2,X3) , Marked_U241(X1,X2,X3)>
<Marked_U242(mark(X1),X2,X3) , Marked_U242(X1,X2,X3)>
<Marked_U243(mark(X1),X2,X3) , Marked_U243(X1,X2,X3)>
<Marked_U244(mark(X1),X2,X3) , Marked_U244(X1,X2,X3)>
<Marked_U245(mark(X1),X2) , Marked_U245(X1,X2)>
<Marked_U246(mark(X)) , Marked_U246(X)>
<Marked_U251(mark(X1),X2,X3) , Marked_U251(X1,X2,X3)>
<Marked_U252(mark(X1),X2,X3) , Marked_U252(X1,X2,X3)>
<Marked_U253(mark(X1),X2,X3) , Marked_U253(X1,X2,X3)>
<Marked_U254(mark(X1),X2,X3) , Marked_U254(X1,X2,X3)>
<Marked_U255(mark(X1),X2) , Marked_U255(X1,X2)>
<Marked_U256(mark(X)) , Marked_U256(X)>
<Marked_U261(mark(X1),X2) , Marked_U261(X1,X2)>
<Marked_U262(mark(X)) , Marked_U262(X)>
<Marked_U271(mark(X1),X2) , Marked_U271(X1,X2)>
<Marked_U272(mark(X)) , Marked_U272(X)>
<Marked_U281(mark(X1),X2) , Marked_U281(X1,X2)>
<Marked_U282(mark(X1),X2) , Marked_U282(X1,X2)>
<Marked_cons(mark(X1),X2) , Marked_cons(X1,X2)>
<Marked_natsFrom(mark(X)) , Marked_natsFrom(X)>
<Marked_s(mark(X)) , Marked_s(X)>
<Marked_U291(mark(X1),X2,X3) , Marked_U291(X1,X2,X3)>
<Marked_U292(mark(X1),X2,X3) , Marked_U292(X1,X2,X3)>
<Marked_U293(mark(X1),X2,X3) , Marked_U293(X1,X2,X3)>
<Marked_U294(mark(X1),X2,X3) , Marked_U294(X1,X2,X3)>
<Marked_head(mark(X)) , Marked_head(X)>
<Marked_afterNth(mark(X1),X2) , Marked_afterNth(X1,X2)>
<Marked_afterNth(X1,mark(X2)) , Marked_afterNth(X1,X2)>
<Marked_U301(mark(X1),X2,X3) , Marked_U301(X1,X2,X3)>
<Marked_U302(mark(X1),X2) , Marked_U302(X1,X2)>
<Marked_U303(mark(X1),X2) , Marked_U303(X1,X2)>
<Marked_U304(mark(X1),X2) , Marked_U304(X1,X2)>
<Marked_U31(mark(X1),X2,X3) , Marked_U31(X1,X2,X3)>
<Marked_U32(mark(X1),X2,X3) , Marked_U32(X1,X2,X3)>
<Marked_U311(mark(X1),X2) , Marked_U311(X1,X2)>
<Marked_U312(mark(X1),X2) , Marked_U312(X1,X2)>
<Marked_pair(mark(X1),X2) , Marked_pair(X1,X2)>
<Marked_pair(X1,mark(X2)) , Marked_pair(X1,X2)>
<Marked_U33(mark(X1),X2,X3) , Marked_U33(X1,X2,X3)>
<Marked_U321(mark(X1),X2,X3,X4) , Marked_U321(X1,X2,X3,X4)>
<Marked_U322(mark(X1),X2,X3,X4) , Marked_U322(X1,X2,X3,X4)>
<Marked_U323(mark(X1),X2,X3,X4) , Marked_U323(X1,X2,X3,X4)>
<Marked_U324(mark(X1),X2,X3,X4) , Marked_U324(X1,X2,X3,X4)>
<Marked_U325(mark(X1),X2,X3,X4) , Marked_U325(X1,X2,X3,X4)>
<Marked_U326(mark(X1),X2,X3,X4) , Marked_U326(X1,X2,X3,X4)>
<Marked_U327(mark(X1),X2) , Marked_U327(X1,X2)>
<Marked_U34(mark(X1),X2) , Marked_U34(X1,X2)>
<Marked_U331(mark(X1),X2,X3) , Marked_U331(X1,X2,X3)>
<Marked_U332(mark(X1),X2) , Marked_U332(X1,X2)>
<Marked_U333(mark(X1),X2) , Marked_U333(X1,X2)>
<Marked_U334(mark(X1),X2) , Marked_U334(X1,X2)>
<Marked_U341(mark(X1),X2,X3) , Marked_U341(X1,X2,X3)>
<Marked_U342(mark(X1),X2,X3) , Marked_U342(X1,X2,X3)>
<Marked_U343(mark(X1),X2,X3) , Marked_U343(X1,X2,X3)>
<Marked_U344(mark(X1),X2,X3) , Marked_U344(X1,X2,X3)>
<Marked_fst(mark(X)) , Marked_fst(X)>
<Marked_U41(mark(X1),X2,X3) , Marked_U41(X1,X2,X3)>
<Marked_U42(mark(X1),X2,X3) , Marked_U42(X1,X2,X3)>
<Marked_U43(mark(X1),X2,X3) , Marked_U43(X1,X2,X3)>
<Marked_U44(mark(X1),X2,X3) , Marked_U44(X1,X2,X3)>
<Marked_U45(mark(X1),X2) , Marked_U45(X1,X2)>
<Marked_U46(mark(X)) , Marked_U46(X)>
<Marked_U51(mark(X1),X2,X3) , Marked_U51(X1,X2,X3)>
<Marked_U52(mark(X1),X2,X3) , Marked_U52(X1,X2,X3)>
<Marked_U53(mark(X1),X2,X3) , Marked_U53(X1,X2,X3)>
<Marked_U54(mark(X1),X2,X3) , Marked_U54(X1,X2,X3)>
<Marked_U55(mark(X1),X2) , Marked_U55(X1,X2)>
<Marked_U56(mark(X)) , Marked_U56(X)>
<Marked_U61(mark(X1),X2) , Marked_U61(X1,X2)>
<Marked_U62(mark(X1),X2) , Marked_U62(X1,X2)>
<Marked_U63(mark(X)) , Marked_U63(X)>
<Marked_U71(mark(X1),X2) , Marked_U71(X1,X2)>
<Marked_U72(mark(X1),X2) , Marked_U72(X1,X2)>
<Marked_U73(mark(X)) , Marked_U73(X)>
<Marked_U81(mark(X1),X2) , Marked_U81(X1,X2)>
<Marked_U82(mark(X1),X2) , Marked_U82(X1,X2)>
<Marked_U83(mark(X)) , Marked_U83(X)>
<Marked_U91(mark(X1),X2) , Marked_U91(X1,X2)>
<Marked_U92(mark(X1),X2) , Marked_U92(X1,X2)>
<Marked_U93(mark(X)) , Marked_U93(X)>
<Marked_tail(mark(X)) , Marked_tail(X)>
<Marked_take(mark(X1),X2) , Marked_take(X1,X2)>
<Marked_take(X1,mark(X2)) , Marked_take(X1,X2)>
<Marked_sel(mark(X1),X2) , Marked_sel(X1,X2)>
<Marked_sel(X1,mark(X2)) , Marked_sel(X1,X2)>
<Marked_proper(U101(X1,X2,X3)) , Marked_U101(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U102(X1,X2,X3)) , Marked_U102(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(isNaturalKind(X)) , Marked_isNaturalKind(proper(X))>
<Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
<Marked_proper(U103(X1,X2,X3)) , Marked_U103(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(isLNatKind(X)) , Marked_isLNatKind(proper(X))>
<Marked_proper(isLNatKind(X)) , Marked_proper(X)>
<Marked_proper(U104(X1,X2,X3)) , Marked_U104(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U105(X1,X2)) , Marked_U105(proper(X1),proper(X2))>
<Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
<Marked_proper(isNatural(X)) , Marked_isNatural(proper(X))>
<Marked_proper(isNatural(X)) , Marked_proper(X)>
<Marked_proper(U106(X)) , Marked_U106(proper(X))>
<Marked_proper(U106(X)) , Marked_proper(X)>
<Marked_proper(isLNat(X)) , Marked_isLNat(proper(X))>
<Marked_proper(isLNat(X)) , Marked_proper(X)>
<Marked_proper(U11(X1,X2,X3)) , Marked_U11(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U12(X1,X2,X3)) , Marked_U12(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U111(X1,X2)) , Marked_U111(proper(X1),proper(X2))>
<Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U112(X)) , Marked_U112(proper(X))>
<Marked_proper(U112(X)) , Marked_proper(X)>
<Marked_proper(U13(X1,X2,X3)) , Marked_U13(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U121(X1,X2)) , Marked_U121(proper(X1),proper(X2))>
<Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U122(X)) , Marked_U122(proper(X))>
<Marked_proper(U122(X)) , Marked_proper(X)>
<Marked_proper(U14(X1,X2,X3)) , Marked_U14(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U131(X)) , Marked_U131(proper(X))>
<Marked_proper(U131(X)) , Marked_proper(X)>
<Marked_proper(snd(X)) , Marked_snd(proper(X))>
<Marked_proper(snd(X)) , Marked_proper(X)>
<Marked_proper(splitAt(X1,X2)) , Marked_splitAt(proper(X1),proper(X2))>
<Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
<Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U141(X)) , Marked_U141(proper(X))>
<Marked_proper(U141(X)) , Marked_proper(X)>
<Marked_proper(U151(X)) , Marked_U151(proper(X))>
<Marked_proper(U151(X)) , Marked_proper(X)>
<Marked_proper(U161(X)) , Marked_U161(proper(X))>
<Marked_proper(U161(X)) , Marked_proper(X)>
<Marked_proper(U171(X1,X2)) , Marked_U171(proper(X1),proper(X2))>
<Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
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<Marked_proper(U172(X)) , Marked_proper(X)>
<Marked_proper(U181(X1,X2)) , Marked_U181(proper(X1),proper(X2))>
<Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U182(X1,X2)) , Marked_U182(proper(X1),proper(X2))>
<Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
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<Marked_proper(U183(X)) , Marked_proper(X)>
<Marked_proper(U191(X1,X2)) , Marked_U191(proper(X1),proper(X2))>
<Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
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<Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
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<Marked_proper(U193(X)) , Marked_proper(X)>
<Marked_proper(U201(X1,X2,X3)) , Marked_U201(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U202(X1,X2,X3)) , Marked_U202(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U203(X1,X2,X3)) , Marked_U203(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U204(X1,X2,X3)) , Marked_U204(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U205(X1,X2)) , Marked_U205(proper(X1),proper(X2))>
<Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
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<Marked_proper(U21(X1,X2,X3)) , Marked_U21(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U22(X1,X2,X3)) , Marked_U22(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U211(X)) , Marked_U211(proper(X))>
<Marked_proper(U211(X)) , Marked_proper(X)>
<Marked_proper(U23(X1,X2,X3)) , Marked_U23(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U221(X)) , Marked_U221(proper(X))>
<Marked_proper(U221(X)) , Marked_proper(X)>
<Marked_proper(U24(X1,X2)) , Marked_U24(proper(X1),proper(X2))>
<Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U231(X1,X2)) , Marked_U231(proper(X1),proper(X2))>
<Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
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<Marked_proper(U232(X)) , Marked_proper(X)>
<Marked_proper(U241(X1,X2,X3)) , Marked_U241(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
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<Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
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<Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
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<Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
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<Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
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<Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U252(X1,X2,X3)) , Marked_U252(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U253(X1,X2,X3)) , Marked_U253(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
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<Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U254(X1,X2,X3)) , Marked_U254(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
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<Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
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<Marked_proper(U281(X1,X2)) , Marked_U281(proper(X1),proper(X2))>
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<Marked_proper(U282(X1,X2)) , Marked_U282(proper(X1),proper(X2))>
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<Marked_proper(s(X)) , Marked_proper(X)>
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<Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
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<Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U293(X1,X2,X3)) , Marked_U293(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
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<Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
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<Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
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<Marked_proper(head(X)) , Marked_proper(X)>
<Marked_proper(afterNth(X1,X2)) , Marked_afterNth(proper(X1),proper(X2))>
<Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
<Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U301(X1,X2,X3)) , Marked_U301(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
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<Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U302(X1,X2)) , Marked_U302(proper(X1),proper(X2))>
<Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
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<Marked_proper(U303(X1,X2)) , Marked_U303(proper(X1),proper(X2))>
<Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U304(X1,X2)) , Marked_U304(proper(X1),proper(X2))>
<Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U31(X1,X2,X3)) , Marked_U31(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
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<Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U32(X1,X2,X3)) , Marked_U32(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
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<Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U311(X1,X2)) , Marked_U311(proper(X1),proper(X2))>
<Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
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<Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
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<Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
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<Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
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<Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U321(X1,X2,X3,X4)) , Marked_U321(proper(X1),proper(X2),
                                     proper(X3),proper(X4))>
<Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
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<Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
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                                     proper(X3),proper(X4))>
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<Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
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                                     proper(X3),proper(X4))>
<Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
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<Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
<Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
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                                     proper(X3),proper(X4))>
<Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
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<Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
<Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
<Marked_proper(U325(X1,X2,X3,X4)) , Marked_U325(proper(X1),proper(X2),
                                     proper(X3),proper(X4))>
<Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
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<Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
<Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
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                                     proper(X3),proper(X4))>
<Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
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<Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
<Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
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<Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
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<Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
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<Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U343(X1,X2,X3)) , Marked_U343(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U344(X1,X2,X3)) , Marked_U344(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
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<Marked_proper(fst(X)) , Marked_proper(X)>
<Marked_proper(U41(X1,X2,X3)) , Marked_U41(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U42(X1,X2,X3)) , Marked_U42(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U43(X1,X2,X3)) , Marked_U43(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U44(X1,X2,X3)) , Marked_U44(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U45(X1,X2)) , Marked_U45(proper(X1),proper(X2))>
<Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U46(X)) , Marked_U46(proper(X))>
<Marked_proper(U46(X)) , Marked_proper(X)>
<Marked_proper(U51(X1,X2,X3)) , Marked_U51(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U52(X1,X2,X3)) , Marked_U52(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U53(X1,X2,X3)) , Marked_U53(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U54(X1,X2,X3)) , Marked_U54(proper(X1),proper(X2),proper(X3))>
<Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
<Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
<Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
<Marked_proper(U55(X1,X2)) , Marked_U55(proper(X1),proper(X2))>
<Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U56(X)) , Marked_U56(proper(X))>
<Marked_proper(U56(X)) , Marked_proper(X)>
<Marked_proper(U61(X1,X2)) , Marked_U61(proper(X1),proper(X2))>
<Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U62(X1,X2)) , Marked_U62(proper(X1),proper(X2))>
<Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
<Marked_proper(isPLNatKind(X)) , Marked_isPLNatKind(proper(X))>
<Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
<Marked_proper(U63(X)) , Marked_U63(proper(X))>
<Marked_proper(U63(X)) , Marked_proper(X)>
<Marked_proper(isPLNat(X)) , Marked_isPLNat(proper(X))>
<Marked_proper(isPLNat(X)) , Marked_proper(X)>
<Marked_proper(U71(X1,X2)) , Marked_U71(proper(X1),proper(X2))>
<Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U72(X1,X2)) , Marked_U72(proper(X1),proper(X2))>
<Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U73(X)) , Marked_U73(proper(X))>
<Marked_proper(U73(X)) , Marked_proper(X)>
<Marked_proper(U81(X1,X2)) , Marked_U81(proper(X1),proper(X2))>
<Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U82(X1,X2)) , Marked_U82(proper(X1),proper(X2))>
<Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U83(X)) , Marked_U83(proper(X))>
<Marked_proper(U83(X)) , Marked_proper(X)>
<Marked_proper(U91(X1,X2)) , Marked_U91(proper(X1),proper(X2))>
<Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U92(X1,X2)) , Marked_U92(proper(X1),proper(X2))>
<Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
<Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
<Marked_proper(U93(X)) , Marked_U93(proper(X))>
<Marked_proper(U93(X)) , Marked_proper(X)>
<Marked_proper(tail(X)) , Marked_tail(proper(X))>
<Marked_proper(tail(X)) , Marked_proper(X)>
<Marked_proper(take(X1,X2)) , Marked_take(proper(X1),proper(X2))>
<Marked_proper(take(X1,X2)) , Marked_proper(X1)>
<Marked_proper(take(X1,X2)) , Marked_proper(X2)>
<Marked_proper(sel(X1,X2)) , Marked_sel(proper(X1),proper(X2))>
<Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
<Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
<Marked_U101(ok(X1),ok(X2),ok(X3)) , Marked_U101(X1,X2,X3)>
<Marked_U102(ok(X1),ok(X2),ok(X3)) , Marked_U102(X1,X2,X3)>
<Marked_isNaturalKind(ok(X)) , Marked_isNaturalKind(X)>
<Marked_U103(ok(X1),ok(X2),ok(X3)) , Marked_U103(X1,X2,X3)>
<Marked_isLNatKind(ok(X)) , Marked_isLNatKind(X)>
<Marked_U104(ok(X1),ok(X2),ok(X3)) , Marked_U104(X1,X2,X3)>
<Marked_U105(ok(X1),ok(X2)) , Marked_U105(X1,X2)>
<Marked_isNatural(ok(X)) , Marked_isNatural(X)>
<Marked_U106(ok(X)) , Marked_U106(X)>
<Marked_isLNat(ok(X)) , Marked_isLNat(X)>
<Marked_U11(ok(X1),ok(X2),ok(X3)) , Marked_U11(X1,X2,X3)>
<Marked_U12(ok(X1),ok(X2),ok(X3)) , Marked_U12(X1,X2,X3)>
<Marked_U111(ok(X1),ok(X2)) , Marked_U111(X1,X2)>
<Marked_U112(ok(X)) , Marked_U112(X)>
<Marked_U13(ok(X1),ok(X2),ok(X3)) , Marked_U13(X1,X2,X3)>
<Marked_U121(ok(X1),ok(X2)) , Marked_U121(X1,X2)>
<Marked_U122(ok(X)) , Marked_U122(X)>
<Marked_U14(ok(X1),ok(X2),ok(X3)) , Marked_U14(X1,X2,X3)>
<Marked_U131(ok(X)) , Marked_U131(X)>
<Marked_snd(ok(X)) , Marked_snd(X)>
<Marked_splitAt(ok(X1),ok(X2)) , Marked_splitAt(X1,X2)>
<Marked_U141(ok(X)) , Marked_U141(X)>
<Marked_U151(ok(X)) , Marked_U151(X)>
<Marked_U161(ok(X)) , Marked_U161(X)>
<Marked_U171(ok(X1),ok(X2)) , Marked_U171(X1,X2)>
<Marked_U172(ok(X)) , Marked_U172(X)>
<Marked_U181(ok(X1),ok(X2)) , Marked_U181(X1,X2)>
<Marked_U182(ok(X1),ok(X2)) , Marked_U182(X1,X2)>
<Marked_U183(ok(X)) , Marked_U183(X)>
<Marked_U191(ok(X1),ok(X2)) , Marked_U191(X1,X2)>
<Marked_U192(ok(X1),ok(X2)) , Marked_U192(X1,X2)>
<Marked_U193(ok(X)) , Marked_U193(X)>
<Marked_U201(ok(X1),ok(X2),ok(X3)) , Marked_U201(X1,X2,X3)>
<Marked_U202(ok(X1),ok(X2),ok(X3)) , Marked_U202(X1,X2,X3)>
<Marked_U203(ok(X1),ok(X2),ok(X3)) , Marked_U203(X1,X2,X3)>
<Marked_U204(ok(X1),ok(X2),ok(X3)) , Marked_U204(X1,X2,X3)>
<Marked_U205(ok(X1),ok(X2)) , Marked_U205(X1,X2)>
<Marked_U206(ok(X)) , Marked_U206(X)>
<Marked_U21(ok(X1),ok(X2),ok(X3)) , Marked_U21(X1,X2,X3)>
<Marked_U22(ok(X1),ok(X2),ok(X3)) , Marked_U22(X1,X2,X3)>
<Marked_U211(ok(X)) , Marked_U211(X)>
<Marked_U23(ok(X1),ok(X2),ok(X3)) , Marked_U23(X1,X2,X3)>
<Marked_U221(ok(X)) , Marked_U221(X)>
<Marked_U24(ok(X1),ok(X2)) , Marked_U24(X1,X2)>
<Marked_U231(ok(X1),ok(X2)) , Marked_U231(X1,X2)>
<Marked_U232(ok(X)) , Marked_U232(X)>
<Marked_U241(ok(X1),ok(X2),ok(X3)) , Marked_U241(X1,X2,X3)>
<Marked_U242(ok(X1),ok(X2),ok(X3)) , Marked_U242(X1,X2,X3)>
<Marked_U243(ok(X1),ok(X2),ok(X3)) , Marked_U243(X1,X2,X3)>
<Marked_U244(ok(X1),ok(X2),ok(X3)) , Marked_U244(X1,X2,X3)>
<Marked_U245(ok(X1),ok(X2)) , Marked_U245(X1,X2)>
<Marked_U246(ok(X)) , Marked_U246(X)>
<Marked_U251(ok(X1),ok(X2),ok(X3)) , Marked_U251(X1,X2,X3)>
<Marked_U252(ok(X1),ok(X2),ok(X3)) , Marked_U252(X1,X2,X3)>
<Marked_U253(ok(X1),ok(X2),ok(X3)) , Marked_U253(X1,X2,X3)>
<Marked_U254(ok(X1),ok(X2),ok(X3)) , Marked_U254(X1,X2,X3)>
<Marked_U255(ok(X1),ok(X2)) , Marked_U255(X1,X2)>
<Marked_U256(ok(X)) , Marked_U256(X)>
<Marked_U261(ok(X1),ok(X2)) , Marked_U261(X1,X2)>
<Marked_U262(ok(X)) , Marked_U262(X)>
<Marked_U271(ok(X1),ok(X2)) , Marked_U271(X1,X2)>
<Marked_U272(ok(X)) , Marked_U272(X)>
<Marked_U281(ok(X1),ok(X2)) , Marked_U281(X1,X2)>
<Marked_U282(ok(X1),ok(X2)) , Marked_U282(X1,X2)>
<Marked_cons(ok(X1),ok(X2)) , Marked_cons(X1,X2)>
<Marked_natsFrom(ok(X)) , Marked_natsFrom(X)>
<Marked_s(ok(X)) , Marked_s(X)>
<Marked_U291(ok(X1),ok(X2),ok(X3)) , Marked_U291(X1,X2,X3)>
<Marked_U292(ok(X1),ok(X2),ok(X3)) , Marked_U292(X1,X2,X3)>
<Marked_U293(ok(X1),ok(X2),ok(X3)) , Marked_U293(X1,X2,X3)>
<Marked_U294(ok(X1),ok(X2),ok(X3)) , Marked_U294(X1,X2,X3)>
<Marked_head(ok(X)) , Marked_head(X)>
<Marked_afterNth(ok(X1),ok(X2)) , Marked_afterNth(X1,X2)>
<Marked_U301(ok(X1),ok(X2),ok(X3)) , Marked_U301(X1,X2,X3)>
<Marked_U302(ok(X1),ok(X2)) , Marked_U302(X1,X2)>
<Marked_U303(ok(X1),ok(X2)) , Marked_U303(X1,X2)>
<Marked_U304(ok(X1),ok(X2)) , Marked_U304(X1,X2)>
<Marked_U31(ok(X1),ok(X2),ok(X3)) , Marked_U31(X1,X2,X3)>
<Marked_U32(ok(X1),ok(X2),ok(X3)) , Marked_U32(X1,X2,X3)>
<Marked_U311(ok(X1),ok(X2)) , Marked_U311(X1,X2)>
<Marked_U312(ok(X1),ok(X2)) , Marked_U312(X1,X2)>
<Marked_pair(ok(X1),ok(X2)) , Marked_pair(X1,X2)>
<Marked_U33(ok(X1),ok(X2),ok(X3)) , Marked_U33(X1,X2,X3)>
<Marked_U321(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U321(X1,X2,X3,X4)>
<Marked_U322(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U322(X1,X2,X3,X4)>
<Marked_U323(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U323(X1,X2,X3,X4)>
<Marked_U324(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U324(X1,X2,X3,X4)>
<Marked_U325(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U325(X1,X2,X3,X4)>
<Marked_U326(ok(X1),ok(X2),ok(X3),ok(X4)) , Marked_U326(X1,X2,X3,X4)>
<Marked_U327(ok(X1),ok(X2)) , Marked_U327(X1,X2)>
<Marked_U34(ok(X1),ok(X2)) , Marked_U34(X1,X2)>
<Marked_U331(ok(X1),ok(X2),ok(X3)) , Marked_U331(X1,X2,X3)>
<Marked_U332(ok(X1),ok(X2)) , Marked_U332(X1,X2)>
<Marked_U333(ok(X1),ok(X2)) , Marked_U333(X1,X2)>
<Marked_U334(ok(X1),ok(X2)) , Marked_U334(X1,X2)>
<Marked_U341(ok(X1),ok(X2),ok(X3)) , Marked_U341(X1,X2,X3)>
<Marked_U342(ok(X1),ok(X2),ok(X3)) , Marked_U342(X1,X2,X3)>
<Marked_U343(ok(X1),ok(X2),ok(X3)) , Marked_U343(X1,X2,X3)>
<Marked_U344(ok(X1),ok(X2),ok(X3)) , Marked_U344(X1,X2,X3)>
<Marked_fst(ok(X)) , Marked_fst(X)>
<Marked_U41(ok(X1),ok(X2),ok(X3)) , Marked_U41(X1,X2,X3)>
<Marked_U42(ok(X1),ok(X2),ok(X3)) , Marked_U42(X1,X2,X3)>
<Marked_U43(ok(X1),ok(X2),ok(X3)) , Marked_U43(X1,X2,X3)>
<Marked_U44(ok(X1),ok(X2),ok(X3)) , Marked_U44(X1,X2,X3)>
<Marked_U45(ok(X1),ok(X2)) , Marked_U45(X1,X2)>
<Marked_U46(ok(X)) , Marked_U46(X)>
<Marked_U51(ok(X1),ok(X2),ok(X3)) , Marked_U51(X1,X2,X3)>
<Marked_U52(ok(X1),ok(X2),ok(X3)) , Marked_U52(X1,X2,X3)>
<Marked_U53(ok(X1),ok(X2),ok(X3)) , Marked_U53(X1,X2,X3)>
<Marked_U54(ok(X1),ok(X2),ok(X3)) , Marked_U54(X1,X2,X3)>
<Marked_U55(ok(X1),ok(X2)) , Marked_U55(X1,X2)>
<Marked_U56(ok(X)) , Marked_U56(X)>
<Marked_U61(ok(X1),ok(X2)) , Marked_U61(X1,X2)>
<Marked_U62(ok(X1),ok(X2)) , Marked_U62(X1,X2)>
<Marked_isPLNatKind(ok(X)) , Marked_isPLNatKind(X)>
<Marked_U63(ok(X)) , Marked_U63(X)>
<Marked_isPLNat(ok(X)) , Marked_isPLNat(X)>
<Marked_U71(ok(X1),ok(X2)) , Marked_U71(X1,X2)>
<Marked_U72(ok(X1),ok(X2)) , Marked_U72(X1,X2)>
<Marked_U73(ok(X)) , Marked_U73(X)>
<Marked_U81(ok(X1),ok(X2)) , Marked_U81(X1,X2)>
<Marked_U82(ok(X1),ok(X2)) , Marked_U82(X1,X2)>
<Marked_U83(ok(X)) , Marked_U83(X)>
<Marked_U91(ok(X1),ok(X2)) , Marked_U91(X1,X2)>
<Marked_U92(ok(X1),ok(X2)) , Marked_U92(X1,X2)>
<Marked_U93(ok(X)) , Marked_U93(X)>
<Marked_tail(ok(X)) , Marked_tail(X)>
<Marked_take(ok(X1),ok(X2)) , Marked_take(X1,X2)>
<Marked_sel(ok(X1),ok(X2)) , Marked_sel(X1,X2)>
<Marked_top(mark(X)) , Marked_top(proper(X))>
<Marked_top(mark(X)) , Marked_proper(X)>
<Marked_top(ok(X)) , Marked_top(active(X))>
<Marked_top(ok(X)) , Marked_active(X)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 132 components:

{  <Marked_top(ok(X)) , Marked_top(active(X))> 
      --> <Marked_top(ok(X)) , Marked_top(active(X))>
  <Marked_top(ok(X)) , Marked_top(active(X))> 
     --> <Marked_top(mark(X)) , Marked_top(proper(X))>
  <Marked_top(mark(X)) , Marked_top(proper(X))> 
     --> <Marked_top(ok(X)) , Marked_top(active(X))>
  <Marked_top(mark(X)) , Marked_top(proper(X))> 
     --> <Marked_top(mark(X)) , Marked_top(proper(X))>
}

{  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
      --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(sel(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(take(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(tail(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U93(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U92(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U91(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U83(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U82(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U81(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U73(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U72(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U71(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNat(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U63(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(isPLNatKind(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U62(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U61(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U56(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U55(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U46(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U45(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(fst(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U334(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U333(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U332(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U34(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U327(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(pair(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U312(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U311(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U304(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U303(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U302(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(head(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(s(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(natsFrom(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(cons(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U282(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U281(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U272(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U271(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U262(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U261(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U256(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U255(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U246(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U245(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U232(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U231(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U24(X1,X2)) , Marked_proper(X1)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U221(X)) , Marked_proper(X)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U91(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U83(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U82(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U81(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U73(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U72(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U71(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNat(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U63(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isPLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U62(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U61(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U56(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U55(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U54(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U53(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U52(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U51(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U46(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U45(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U44(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U43(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U42(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U41(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(fst(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U344(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U343(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U342(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U341(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U334(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U333(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U332(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U331(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U34(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U327(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U326(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U325(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U324(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U323(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U322(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X4)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U321(X1,X2,X3,X4)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U33(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(pair(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U312(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U311(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U32(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U31(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U304(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U303(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U302(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U301(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(afterNth(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(head(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U294(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U293(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U292(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U291(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(s(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(natsFrom(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(cons(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U282(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U281(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U272(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U271(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U262(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U261(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U256(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U255(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U254(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U253(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U252(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U251(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U246(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U245(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U244(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U243(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U242(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U241(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U232(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U231(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U24(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U221(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U211(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U22(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U21(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U206(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U205(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U204(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U203(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U202(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U201(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U193(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U192(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U191(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U183(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U182(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U181(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U172(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U171(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U161(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U151(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U141(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(splitAt(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(snd(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U131(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U14(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U122(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U121(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U13(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U112(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U111(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U12(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U11(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNat(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U106(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNatural(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U105(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U104(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isLNatKind(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U103(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(isNaturalKind(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U102(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X3)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X2)> 
     --> <Marked_proper(U101(X1,X2,X3)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(sel(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(take(X1,X2)) , Marked_proper(X1)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(tail(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U93(X)) , Marked_proper(X)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2)) , Marked_proper(X2)>
  <Marked_proper(U23(X1,X2,X3)) , Marked_proper(X1)> 
     --> <Marked_proper(U92(X1,X2))